Question

If the first term of an AP is a and its common difference is d then the nth term is given by Tn = a + (n – 1)d

(a) True

(b) False

This question was addressed to me in my homework.

I want to ask this question from Arithmetic Progression Basics in chapter Arithmetic Progressions of Mathematics – Class 10

Answer 1

Right option is (a) True

Easiest explanation: In the given AP we have, first term as a and common difference as d.

So, the given AP may be written as a, a + d, a + 2d, a + 3d, …

In this AP, we have,

First term = a = a + (1 – 1)d

Second term = a = a + (2 – 1)d

Third term = a = a + (3 – 1)d

And so, on

Hence, the n^th term of the AP will be a + (n – 1)d.